Atkin-Lehner |
2- 3- 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
53100v |
Isogeny class |
Conductor |
53100 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
64516500000000 = 28 · 37 · 59 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -3 7 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-156000,23712500] |
[a1,a2,a3,a4,a6] |
j |
1151860736/177 |
j-invariant |
L |
2.3992784031052 |
L(r)(E,1)/r! |
Ω |
0.59981960072648 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17700j1 53100w1 |
Quadratic twists by: -3 5 |